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Finding the Fourth Proportional to 422,385.31, 633,580.11 and 106,842.52

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Solution

The fourth proportional to 422,385.31, 633,580.11 and 106,842.52 is: 160,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,385.31 : 633,580.11 = 106,842.52 : x
  2. Step 2: Convert to fraction form
    422,385.31/633,580.11 = 106,842.52/x
  3. Step 3: Cross multiply
    422,385.31x = 633,580.11 × 106,842.52
  4. Step 4: Simplify right side
    422,385.31x = 67,693,296,366.25
  5. Step 5: Solve for x
    x = 67,693,296,366.25/422,385.31
  6. Step 6: Final answer
    x = 160,264.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.